Averages of elliptic curve constants

Details Averages of elliptic curve constants Averages of elliptic curve constants

2007-11-21

arxiv.org/abs/0711.3484v1

Mathematics

Number Theory

22 pages

Scientific paper

We compute the averages over elliptic curves of the constants occurring in
the Lang-Trotter conjecture, the Koblitz conjecture, and the cyclicity
conjecture. The results obtained confirm the consistency of these conjectures
with the corresponding ``theorems on average'' obtained recently by various
authors.

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